1102120021200 has 720 divisors, whose sum is σ = 4018737784320. Its totient is φ = 255999744000.

The previous prime is 1102120021199. The next prime is 1102120021231. The reversal of 1102120021200 is 21200212011.

It is a super-2 number, since 2×1102120021200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1283026371 + ... + 1283027229.

It is an arithmetic number, because the mean of its divisors is an integer number (5581580256).

Almost surely, 2^{1102120021200} is an apocalyptic number.

1102120021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102120021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009368892160).

1102120021200 is an abundant number, since it is smaller than the sum of its proper divisors (2916617763120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1102120021200 is a wasteful number, since it uses less digits than its factorization.

1102120021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1102120021200 its reverse (21200212011), we get a palindrome (1123320233211).

It can be divided in two parts, 1 and 102120021200, that added together give a palindrome (102120021201).

The spelling of 1102120021200 in words is "one trillion, one hundred two billion, one hundred twenty million, twenty-one thousand, two hundred".